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A particle with mass m begins its motion from the state of rest under the influence...

A particle with mass m begins its motion from the state of rest under the influence of an oscillating force F(t) = F0 sin(γ t). Find the particle’s velocity and the distance traveled at time t1, when the force reaches its first maximum, and at time t2, when the force becomes equal to zero.

Solutions

Expert Solution

When a particle is oscillating under the influence of oscillating force , equation of motion of particle is

Integrating above equation,

Velocity of particle is

Integrating above equation,

Diplacement of the particle is

At time , force reaches its maximum,

,

At time , force is equal to zero,

,

At time ​ ,

Velocity of particle is

Distance travelled is

At time ​ ,

Velocity of particle is

Distance travelled is

genius_generous answered 2 years ago
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